Finding the Third Proportional to 509,043 and 1,096,764

Step by Step Solution

1. Step 1: Write the proportion equation
   509,043 : 1,096,764 = 1,096,764 : x
2. Step 2: Convert to fraction form
   509,043/1,096,764 = 1,096,764/x
3. Step 3: Cross multiply
   509,043x = 1,096,764 × 1,096,764
4. Step 4: Simplify right side
   509,043x = 1,202,891,271,696
5. Step 5: Solve for x
   x = 1,202,891,271,696/509,043
6. Step 6: Final answer
   x = 2,363,044.52